What are the solutions to the equation 0=4x^3-12x^2 ?

The solutions to the equation 0=4x^3-12x^2 are x=0,x=3

Find the zeros of 0=4x^3-12x^2

The zeros of 0=4x^3-12x^2 are x=0,x=3

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0 = 4 x^{3} - 12 x^{2}

x = 0, x = 3

Solution steps

0 = 4 x^{3} - 12 x^{2}

Switch sides

4 x^{3} - 12 x^{2} = 0

Factor

4 x^{3} - 12 x^{2} : 4 x^{2} (x - 3)

4 x^{2} (x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 3 = 0

Solve

x - 3 = 0 : x = 3

The solutions are

x = 0, x = 3

x^{9} + x^{6} - 36 = 0

- 4500 x^{3} - 1950 x^{2} - 205 x - 3 = 0

(x^{2} + 2 x)^{2} - 2 (x^{2} + 2 x) - 3 = 0

x, 9 x^{6} - 7 x^{2} = 0

4 x^{3} - 15 x^{2} + 12 x = 0

What are the solutions to the equation 0=4x^3-12x^2 ?
The solutions to the equation 0=4x^3-12x^2 are x=0,x=3
Find the zeros of 0=4x^3-12x^2
The zeros of 0=4x^3-12x^2 are x=0,x=3